17 citations · 31 across the 34 of their papers we have counts for
7 papers · 1 filter
The compactness of Moser-Trudinger type inequalities in the unit ball
Qi Xia, Yufeng Lu
In this paper, we employ the concentration-compactness principle to show that if the Dirichlet norm is replaced by the standard Sobolev norm, then the supremum of $$ \int_{\mathbb{…
The compactness of Moser-Trudinger functionals with conical metric in the unit ball
Qi Xia, Yufeng Lu
Let be the unit ball in , is a standard Sobolev space. Suppose a function is radially symmetric, nonnegati…
Global well-posedness for generalized fractional Hartree equations with rough initial data in all dimensions
Yufeng Lu
We prove the global existence of the solution for fractional Hartree equations with initial data in certain real interpolation spaces between and some kinds of new function…
Global Well-posedness for the Fourth-order Nonlinear Schrodinger Equation
Mingjuan Chen, Yufeng Lu, Yaqing Wang
The local and global well-posedness for the one dimensional fourth-order nonlinear Schrödinger equation are established in the modulation space for an…
Well-posedness of generalized KdV and one-dimensional fourth-order derivative nonlinear Schrödinger equations for data with an infinite norm
Yufeng Lu
We study the Cauchy problem for the generalized KdV and one-dimensional fourth-order derivative nonlinear Schrödinger equations, for which the global well-posedness of solutions wi…
Local smoothing estimates of fractional Schrödinger equations in -modulation spaces with some applications
Yufeng Lu
We show some new local smoothing estimates of the fractional Schrödinger equations with initial data in -modulation spaces via decoupling inequalities. Furthermore, our necessar…
Global Cauchy problems for the nonlocal (derivative) NLS in
Jie Chen, Yufeng Lu, Baoxiang Wang
We consider the Cauchy problem for the (derivative) nonlocal NLS in super-critical function spaces for which the norms are defined by $$ \|f\|_{E^s_σ} = \|\langleξ\rangle^σ…